Foundations of signal processing

Foundations of signal processing

Enregistré dans:
Détails bibliographiques
Auteurs principaux: Vetterli, Martin, 1957-, Kovačević, Jelena (Auteur), Goyal, Vivek K. (Auteur)
Format: Livre papier
Langue:Anglais
Publié: Cambridge : Cambridge University Press C 2014.
Sujets:
Traitement du signal > Manuels d'enseignement supérieur
Note: Autre(s) tirage(s) : 2016 (3e)
Autres localisations: Voir dans le Sudoc
Table des matières:
  • 1. On rainbows and spectra;
  • 2. From Euclid to Hilbert:
  • 2.1. Introduction;
  • 2.2. Vector spaces;
  • 2.3. Hilbert spaces;
  • 2.4. Approximations, projections, and decompositions;
  • 2.5. Bases and frames;
  • 2.6. Computational aspects;
  • 2.A. Elements of analysis and topology;
  • 2.B. Elements of linear algebra;
  • 2.C. Elements of probability;
  • 2.D. Basis concepts;
  • Exercises with solutions;
  • Exercises;
  • 3. Sequences and discrete-time systems:
  • 3.1. Introduction;
  • 3.2. Sequences;
  • 3.3. Systems;
  • 3.4. Discrete-time Fourier Transform;
  • 3.5. z-Transform;
  • 3.6. Discrete Fourier Transform;
  • 3.7. Multirate sequences and systems;
  • 3.8. Stochastic processes and systems;
  • 3.9. Computational aspects;
  • 3.A. Elements of analysis;
  • 3.B. Elements of algebra;
  • Exercises with solutions;
  • Exercises;
  • 4. Functions and continuous-time systems:
  • 4.1. Introduction;
  • 4.2. Functions;
  • 4.3. Systems;
  • 4.4. Fourier Transform;
  • 4.5. Fourier series;
  • 4.6. Stochastic processes and systems;
  • Exercises with solutions;
  • Exercises;
  • 5. Sampling and interpolation:
  • 5.1. Introduction;
  • 5.2. Finite-dimensional vectors;
  • 5.3. Sequences;
  • 5.4. Functions;
  • 5.5. Periodic functions;
  • 5.6. Computational aspects;
  • Exercises with solutions;
  • Exercises;
  • 6. Approximation and compression:
  • 6.1. Introduction;
  • 6.2. Approximation of functions on finite intervals by polynomials;
  • 6.3. Approximation of functions by splines;
  • 6.4. Approximation of functions and sequences by series truncation;
  • 6.5. Compression;
  • 6.6. Computational aspects;
  • Exercises with solutions;
  • Exercises;
  • 7. Localization and uncertainty:
  • 7.1. Introduction;
  • 7.2. Localization for functions;
  • 7.3. Localization for sequences;
  • 7.4. Tiling the time-frequency plane;
  • 7.5. Examples of local Fourier and wavelet bases;
  • 7.6. Recap and a glimpse forward;
  • Exercises with solutions;
  • Exercises.

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